%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO661-1 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:13:18 AM UTC 2026 % Result : Unsatisfiable 0.44s 0.66s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO661-1 : TPTP v9.2.1. Released v7.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 00:34:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.66 % SZS status Unsatisfiable % 0.44/0.66 % SZS output start Proof % 0.44/0.66 ( % 0.44/0.66 (declare-sort $$unsorted 0) % 0.44/0.66 (declare-const tptp.iLEQ (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.suc (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const |tptp.'E'| (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const |tptp.'LE'| (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.z $$unsorted) % 0.44/0.66 (declare-const tptp.s (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const |tptp.'0'| $$unsorted) % 0.44/0.66 (define @t1 () (tptp.f tptp.z)) % 0.44/0.66 (define @t2 () (|tptp.'LE'| @t1 |tptp.'0'|)) % 0.44/0.66 (define @t3 () (@var "B_11" $$unsorted)) % 0.44/0.66 (define @t4 () (tptp.suc @t3)) % 0.44/0.66 (define @t5 () (tptp.f @t4)) % 0.44/0.66 (define @t6 () (tptp.f @t3)) % 0.44/0.66 (define @t7 () (|tptp.'E'| @t6 @t5)) % 0.44/0.66 (define @t8 () (@var "A_1" $$unsorted)) % 0.44/0.66 (define @t9 () (tptp.suc @t8)) % 0.44/0.66 (define @t10 () (tptp.f @t9)) % 0.44/0.66 (define @t11 () (tptp.f @t8)) % 0.44/0.66 (define @t12 () (|tptp.'E'| @t11 @t10)) % 0.44/0.66 (define @t13 () (@var "B_12" $$unsorted)) % 0.44/0.66 (define @t14 () (tptp.suc @t13)) % 0.44/0.66 (define @t15 () (not (tptp.iLEQ @t4 @t14))) % 0.44/0.66 (define @t16 () (not (tptp.iLEQ @t9 @t4))) % 0.44/0.66 (define @t17 () (tptp.s |tptp.'0'|)) % 0.44/0.66 (define @t18 () (not (|tptp.'E'| @t17 @t6))) % 0.44/0.66 (define @t19 () (tptp.f @t14)) % 0.44/0.66 (define @t20 () (tptp.f @t13)) % 0.44/0.66 (define @t21 () (|tptp.'E'| @t20 @t19)) % 0.44/0.66 (define @t22 () (not @t21)) % 0.44/0.66 (define @t23 () (not (|tptp.'E'| @t17 (tptp.f (tptp.suc @t14))))) % 0.44/0.66 (define @t24 () (not (|tptp.'E'| @t17 @t10))) % 0.44/0.66 (define @t25 () (not (|tptp.'E'| @t17 @t19))) % 0.44/0.66 (define @t26 () (not (|tptp.'E'| @t17 @t11))) % 0.44/0.66 (define @t27 () (not (|tptp.'E'| @t17 @t20))) % 0.44/0.66 (define @t28 () (not (|tptp.'E'| @t17 @t5))) % 0.44/0.66 (define @t29 () (@list @t3 @t13 @t8)) % 0.44/0.66 (define @t30 () (@var "B_17" $$unsorted)) % 0.44/0.66 (define @t31 () (tptp.f @t30)) % 0.44/0.66 (define @t32 () (|tptp.'LE'| @t31 |tptp.'0'|)) % 0.44/0.66 (define @t33 () (tptp.suc @t30)) % 0.44/0.66 (define @t34 () (tptp.f (tptp.suc @t33))) % 0.44/0.66 (define @t35 () (@list @t30)) % 0.44/0.66 (define @t36 () (forall @t35 (or (not (|tptp.'LE'| @t34 @t17)) (|tptp.'E'| |tptp.'0'| @t34) @t32))) % 0.44/0.66 (define @t37 () (not @t7)) % 0.44/0.66 (define @t38 () (not (|tptp.'E'| @t17 (tptp.f (tptp.suc @t4))))) % 0.44/0.66 (define @t39 () (not @t12)) % 0.44/0.66 (define @t40 () (not (|tptp.'E'| @t17 (tptp.f (tptp.suc @t9))))) % 0.44/0.66 (define @t41 () (tptp.s @t17)) % 0.44/0.66 (define @t42 () (@var "A" $$unsorted)) % 0.44/0.66 (define @t43 () (forall (@list @t42) (|tptp.'LE'| (tptp.f @t42) @t41))) % 0.44/0.66 (define @t44 () (@var "B_10" $$unsorted)) % 0.44/0.66 (define @t45 () (tptp.f @t44)) % 0.44/0.66 (define @t46 () (|tptp.'LE'| @t45 @t17)) % 0.44/0.66 (define @t47 () (tptp.suc @t44)) % 0.44/0.66 (define @t48 () (tptp.f @t47)) % 0.44/0.66 (define @t49 () (@list @t44)) % 0.44/0.66 (define @t50 () (forall @t49 (or (not (|tptp.'LE'| @t48 @t41)) (|tptp.'E'| @t17 @t48) @t46))) % 0.44/0.66 (define @t51 () (tptp.f @t33)) % 0.44/0.66 (define @t52 () (forall @t35 (or (not (|tptp.'LE'| @t51 @t17)) (|tptp.'E'| |tptp.'0'| @t51) @t32))) % 0.44/0.66 (define @t53 () (forall @t35 (or (not (|tptp.'LE'| @t31 @t17)) (|tptp.'E'| |tptp.'0'| @t31) @t32))) % 0.44/0.66 (define @t54 () (tptp.iLEQ @t9 @t9)) % 0.44/0.66 (define @t55 () (@list @t8)) % 0.44/0.66 (define @t56 () (@var "B_18" $$unsorted)) % 0.44/0.66 (define @t57 () (tptp.suc @t56)) % 0.44/0.66 (define @t58 () (tptp.f @t57)) % 0.44/0.66 (define @t59 () (tptp.f @t56)) % 0.44/0.66 (define @t60 () (|tptp.'E'| @t59 @t58)) % 0.44/0.66 (define @t61 () (@var "A_2" $$unsorted)) % 0.44/0.66 (define @t62 () (tptp.suc @t61)) % 0.44/0.66 (define @t63 () (tptp.f @t62)) % 0.44/0.66 (define @t64 () (tptp.f @t61)) % 0.44/0.66 (define @t65 () (|tptp.'E'| @t64 @t63)) % 0.44/0.66 (define @t66 () (not @t65)) % 0.44/0.66 (define @t67 () (not (tptp.iLEQ @t62 @t57))) % 0.44/0.66 (define @t68 () (@var "B_19" $$unsorted)) % 0.44/0.66 (define @t69 () (tptp.suc @t68)) % 0.44/0.66 (define @t70 () (tptp.f @t69)) % 0.44/0.66 (define @t71 () (tptp.f @t68)) % 0.44/0.66 (define @t72 () (|tptp.'E'| @t71 @t70)) % 0.44/0.66 (define @t73 () (not @t72)) % 0.44/0.66 (define @t74 () (not (|tptp.'E'| |tptp.'0'| @t58))) % 0.44/0.66 (define @t75 () (not (|tptp.'E'| |tptp.'0'| @t59))) % 0.44/0.66 (define @t76 () (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc @t69))))) % 0.44/0.66 (define @t77 () (not (|tptp.'E'| |tptp.'0'| @t71))) % 0.44/0.66 (define @t78 () (not (|tptp.'E'| |tptp.'0'| @t64))) % 0.44/0.66 (define @t79 () (not (tptp.iLEQ @t57 @t69))) % 0.44/0.66 (define @t80 () (not (|tptp.'E'| |tptp.'0'| @t70))) % 0.44/0.66 (define @t81 () (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc @t62))))) % 0.44/0.66 (define @t82 () (not (|tptp.'E'| |tptp.'0'| @t63))) % 0.44/0.66 (define @t83 () (@list @t61 @t68 @t56)) % 0.44/0.66 (define @t84 () (tptp.iLEQ @t62 @t62)) % 0.44/0.66 (define @t85 () (@list @t61)) % 0.44/0.66 (define @t86 () (not @t60)) % 0.44/0.66 (define @t87 () (not (|tptp.'E'| |tptp.'0'| (tptp.f (tptp.suc @t57))))) % 0.44/0.66 (define @t88 () (@list @t56 @t61 @t68)) % 0.44/0.66 (define @t89 () (tptp.f (tptp.suc @t47))) % 0.44/0.66 (define @t90 () (forall @t49 (or (not (|tptp.'LE'| @t89 @t41)) (|tptp.'E'| @t17 @t89) @t46))) % 0.44/0.66 (define @t91 () (forall @t49 (or (not (|tptp.'LE'| @t45 @t41)) (|tptp.'E'| @t17 @t45) @t46))) % 0.44/0.66 (define @t92 () (forall @t55 (or @t40 @t24 @t39 @t26 @t54))) % 0.44/0.66 (define @t93 () (tptp.suc tptp.z)) % 0.44/0.66 (define @t94 () (tptp.suc @t93)) % 0.44/0.66 (define @t95 () (@list @t94)) % 0.44/0.66 (define @t96 () (tptp.suc @t94)) % 0.44/0.66 (define @t97 () (@list tptp.z)) % 0.44/0.66 (define @t98 () (@list @t93)) % 0.44/0.66 (define @t99 () (tptp.f @t93)) % 0.44/0.66 (define @t100 () (|tptp.'LE'| @t99 @t17)) % 0.44/0.66 (define @t101 () (tptp.f @t94)) % 0.44/0.66 (define @t102 () (|tptp.'E'| @t17 @t101)) % 0.44/0.66 (define @t103 () (|tptp.'LE'| @t101 @t41)) % 0.44/0.66 (define @t104 () (not @t103)) % 0.44/0.66 (define @t105 () (or @t104 @t102 @t100)) % 0.44/0.66 (define @t106 () (|tptp.'LE'| @t101 @t17)) % 0.44/0.66 (define @t107 () (or @t104 @t102 @t106)) % 0.44/0.66 (define @t108 () (|tptp.'LE'| @t1 @t17)) % 0.44/0.66 (define @t109 () (or @t104 @t102 @t108)) % 0.44/0.66 (define @t110 () (|tptp.'E'| |tptp.'0'| @t99)) % 0.44/0.66 (define @t111 () (not @t100)) % 0.44/0.66 (define @t112 () (or @t111 @t110 @t2)) % 0.44/0.66 (define @t113 () (|tptp.'E'| |tptp.'0'| @t101)) % 0.44/0.66 (define @t114 () (not @t106)) % 0.44/0.66 (define @t115 () (or @t114 @t113 @t2)) % 0.44/0.66 (define @t116 () (|tptp.'E'| |tptp.'0'| @t1)) % 0.44/0.66 (define @t117 () (not @t108)) % 0.44/0.66 (define @t118 () (or @t117 @t116 @t2)) % 0.44/0.66 (define @t119 () (tptp.iLEQ @t93 @t93)) % 0.44/0.66 (define @t120 () (|tptp.'E'| @t1 @t99)) % 0.44/0.66 (define @t121 () (not @t110)) % 0.44/0.66 (define @t122 () (not @t116)) % 0.44/0.66 (define @t123 () (or @t122 @t121 @t120 @t119)) % 0.44/0.66 (define @t124 () (|tptp.'E'| @t17 @t1)) % 0.44/0.66 (define @t125 () (|tptp.'LE'| @t1 @t41)) % 0.44/0.66 (define @t126 () (not @t125)) % 0.44/0.66 (define @t127 () (or @t126 @t124 @t108)) % 0.44/0.66 (define @t128 () (|tptp.'E'| @t17 @t99)) % 0.44/0.66 (define @t129 () (|tptp.'LE'| @t99 @t41)) % 0.44/0.66 (define @t130 () (not @t129)) % 0.44/0.66 (define @t131 () (or @t130 @t128 @t108)) % 0.44/0.66 (define @t132 () (not @t128)) % 0.44/0.66 (define @t133 () (not @t124)) % 0.44/0.66 (define @t134 () (or @t133 @t132 @t120 @t119)) % 0.44/0.66 (define @t135 () (@list tptp.z tptp.z tptp.z)) % 0.44/0.66 (define @t136 () (not @t119)) % 0.44/0.66 (define @t137 () (or @t121 @t121 @t136 @t122 @t122 @t122 @t121 @t136 @t120 @t120 @t120)) % 0.44/0.66 (define @t138 () (@list false false)) % 0.44/0.66 (define @t139 () (not @t120)) % 0.44/0.66 (define @t140 () (not @t113)) % 0.44/0.66 (define @t141 () (or @t140 @t121 @t140 @t121 @t136 @t122 @t122 @t140 @t139 @t122 @t121 @t139 @t136 @t139)) % 0.44/0.66 (define @t142 () (or @t140 @t121 @t139 @t122 @t119)) % 0.44/0.66 (define @t143 () (@list @t93 @t93 @t93)) % 0.44/0.66 (define @t144 () (|tptp.'E'| @t99 @t101)) % 0.44/0.66 (define @t145 () (tptp.iLEQ @t94 @t94)) % 0.44/0.66 (define @t146 () (not @t145)) % 0.44/0.66 (define @t147 () (not @t102)) % 0.44/0.66 (define @t148 () (or @t147 @t132 @t132 @t147 @t147 @t132 @t146 @t146 @t144 @t144 @t144)) % 0.44/0.66 (define @t149 () (not @t144)) % 0.44/0.66 (define @t150 () (tptp.f @t96)) % 0.44/0.66 (define @t151 () (|tptp.'E'| @t17 @t150)) % 0.44/0.66 (define @t152 () (not @t151)) % 0.44/0.66 (define @t153 () (or @t147 @t132 @t152 @t132 @t147 @t147 @t152 @t149 @t149 @t152 @t132 @t149 @t146 @t146)) % 0.44/0.66 (define @t154 () (or @t132 @t147 @t144 @t145)) % 0.44/0.66 (define @t155 () (or @t152 @t147 @t149 @t132 @t145)) % 0.44/0.66 (define @t156 () (|tptp.'LE'| @t150 @t41)) % 0.44/0.66 (define @t157 () (not @t156)) % 0.44/0.66 (define @t158 () (or @t157 @t151 @t106)) % 0.44/0.66 (define @t159 () (or @t157 @t151 @t100)) % 0.44/0.66 (define @t160 () (or @t147 @t132 @t139 @t133 @t119)) % 0.44/0.66 (define @t161 () (or @t132 @t133 @t147 @t133 @t132 @t132 @t147 @t139 @t139 @t147 @t133 @t139 @t136 @t136)) % 0.44/0.66 (define @t162 () (or @t132 @t133 @t133 @t132 @t132 @t133 @t136 @t136 @t120 @t120 @t120)) % 0.44/0.66 (define @t163 () (or @t130 @t128 @t100)) % 0.44/0.66 (define @t164 () (@list true false false)) % 0.44/0.66 (define @t165 () (tptp.iLEQ @t96 @t96)) % 0.44/0.66 (define @t166 () (|tptp.'E'| @t101 @t150)) % 0.44/0.66 (define @t167 () (or @t147 @t152 @t166 @t165)) % 0.44/0.66 (define @t168 () (@list @t94 @t94 @t94)) % 0.44/0.66 (define @t169 () (not @t165)) % 0.44/0.66 (define @t170 () (or @t152 @t147 @t147 @t152 @t152 @t147 @t169 @t169 @t166 @t166 @t166)) % 0.44/0.66 (define @t171 () (tptp.suc @t96)) % 0.44/0.66 (define @t172 () (tptp.f @t171)) % 0.44/0.66 (define @t173 () (|tptp.'E'| @t17 @t172)) % 0.44/0.66 (define @t174 () (|tptp.'LE'| @t172 @t41)) % 0.44/0.66 (define @t175 () (not @t174)) % 0.44/0.66 (define @t176 () (or @t175 @t173 @t106)) % 0.44/0.66 (define @t177 () (not @t166)) % 0.44/0.66 (define @t178 () (not @t173)) % 0.44/0.66 (define @t179 () (or @t152 @t147 @t178 @t147 @t152 @t152 @t178 @t177 @t177 @t178 @t147 @t177 @t169 @t169)) % 0.44/0.66 (define @t180 () (or @t178 @t152 @t177 @t147 @t165)) % 0.44/0.66 (define @t181 () (not @t180)) % 0.44/0.66 (assume @p1 (not @t2)) % 0.44/0.66 (assume @p2 (forall @t29 (or @t28 @t27 @t26 @t25 @t24 @t23 @t22 @t18 @t16 @t15 @t12 @t7))) % 0.44/0.66 (assume @p3 @t36) % 0.44/0.66 (assume @p4 (forall @t29 (or @t28 @t27 @t26 @t25 @t24 @t18 @t16 @t15 @t12 @t7 @t21))) % 0.44/0.66 (assume @p5 (forall @t29 (or @t28 @t27 @t40 @t26 @t25 @t24 @t23 @t22 @t39 @t38 @t18 @t37 @t16 @t15))) % 0.44/0.66 (assume @p6 @t43) % 0.44/0.66 (assume @p7 @t50) % 0.44/0.66 (assume @p8 @t52) % 0.44/0.66 (assume @p9 @t53) % 0.44/0.66 (assume @p10 (forall @t55 (or @t26 @t24 @t12 @t54))) % 0.44/0.66 (assume @p11 (forall @t29 (or @t28 @t27 @t40 @t26 @t25 @t24 @t39 @t38 @t18 @t37 @t16 @t15 @t21))) % 0.44/0.66 (assume @p12 (forall @t29 (or @t28 @t27 @t26 @t25 @t24 @t38 @t18 @t37 @t16 @t15 @t12 @t21))) % 0.44/0.66 (assume @p13 (forall @t83 (or @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t67 @t66 @t60))) % 0.44/0.66 (assume @p14 (forall @t29 (or @t28 @t27 @t40 @t26 @t25 @t24 @t39 @t18 @t16 @t15 @t7 @t21))) % 0.44/0.66 (assume @p15 (forall @t85 (or @t78 @t82 @t65 @t84))) % 0.44/0.66 (assume @p16 (forall @t29 (or @t28 @t27 @t26 @t25 @t24 @t23 @t22 @t38 @t18 @t37 @t16 @t15 @t12))) % 0.44/0.66 (assume @p17 (forall @t88 (or @t87 @t82 @t81 @t80 @t79 @t78 @t77 @t86 @t75 @t74 @t67 @t66 @t72))) % 0.44/0.66 (assume @p18 (forall @t88 (or @t87 @t82 @t81 @t80 @t79 @t78 @t77 @t76 @t86 @t75 @t74 @t73 @t67 @t66))) % 0.44/0.66 (assume @p19 (forall @t83 (or @t82 @t81 @t80 @t79 @t78 @t77 @t75 @t74 @t67 @t66 @t60 @t72))) % 0.44/0.66 (assume @p20 (forall @t83 (or @t82 @t80 @t79 @t78 @t77 @t75 @t74 @t67 @t65 @t60 @t72))) % 0.44/0.66 (assume @p21 (forall @t88 (or @t87 @t82 @t80 @t79 @t78 @t77 @t76 @t86 @t75 @t74 @t73 @t67 @t65))) % 0.44/0.66 (assume @p22 (forall @t85 (or @t81 @t82 @t66 @t78 @t84))) % 0.44/0.66 (assume @p23 @t90) % 0.44/0.66 (assume @p24 (forall @t83 (or @t82 @t80 @t79 @t78 @t77 @t76 @t75 @t74 @t73 @t67 @t65 @t60))) % 0.44/0.66 (assume @p25 @t91) % 0.44/0.66 (assume @p26 (forall @t88 (or @t87 @t82 @t80 @t79 @t78 @t77 @t86 @t75 @t74 @t67 @t65 @t72))) % 0.44/0.66 (assume @p27 (forall @t29 (or @t28 @t27 @t40 @t26 @t25 @t24 @t23 @t22 @t39 @t18 @t16 @t15 @t7))) % 0.44/0.66 (assume @p28 @t92) % 0.44/0.66 (step @p29 :rule instantiate :premises (@p7) :args (@t95)) % 0.44/0.66 (step @p30 :rule instantiate :premises (@p6) :args ((@list @t96))) % 0.44/0.66 (step @p31 :rule instantiate :premises (@p3) :args (@t97)) % 0.44/0.66 (step @p32 :rule instantiate :premises (@p8) :args (@t97)) % 0.44/0.66 (step @p33 :rule instantiate :premises (@p25) :args (@t98)) % 0.44/0.66 (step @p34 :rule instantiate :premises (@p6) :args (@t98)) % 0.44/0.66 (step @p35 :rule instantiate :premises (@p6) :args (@t95)) % 0.44/0.66 (step @p36 :rule instantiate :premises (@p7) :args (@t98)) % 0.44/0.66 (step @p37 :rule cnf_or_pos :args (@t105)) % 0.44/0.66 (step @p38 :rule reordering :premises (@p37) :args ((or @t100 @t102 @t104 (not @t105)))) % 0.44/0.66 (step @p39 :rule instantiate :premises (@p25) :args (@t95)) % 0.44/0.66 (step @p40 :rule cnf_or_pos :args (@t107)) % 0.44/0.66 (step @p41 :rule reordering :premises (@p40) :args ((or @t106 @t102 @t104 (not @t107)))) % 0.44/0.66 (step @p42 :rule instantiate :premises (@p23) :args (@t97)) % 0.44/0.66 (step @p43 :rule cnf_or_pos :args (@t109)) % 0.44/0.66 (step @p44 :rule reordering :premises (@p43) :args ((or @t108 @t102 @t104 (not @t109)))) % 0.44/0.66 (step @p45 :rule cnf_or_pos :args (@t112)) % 0.44/0.66 (step @p46 :rule reordering :premises (@p45) :args ((or @t2 @t111 @t110 (not @t112)))) % 0.44/0.66 (step @p47 :rule cnf_or_pos :args (@t115)) % 0.44/0.66 (step @p48 :rule reordering :premises (@p47) :args ((or @t2 @t114 @t113 (not @t115)))) % 0.44/0.66 (step @p49 :rule instantiate :premises (@p9) :args (@t97)) % 0.44/0.66 (step @p50 :rule cnf_or_pos :args (@t118)) % 0.44/0.66 (step @p51 :rule reordering :premises (@p50) :args ((or @t2 @t117 @t116 (not @t118)))) % 0.44/0.66 (step @p52 :rule instantiate :premises (@p15) :args (@t97)) % 0.44/0.66 (step @p53 :rule cnf_or_pos :args (@t123)) % 0.44/0.66 (step @p54 :rule reordering :premises (@p53) :args ((or @t121 @t122 @t120 @t119 (not @t123)))) % 0.44/0.66 (step @p55 :rule instantiate :premises (@p25) :args (@t97)) % 0.44/0.66 (step @p56 :rule instantiate :premises (@p6) :args (@t97)) % 0.44/0.66 (step @p57 :rule cnf_or_pos :args (@t127)) % 0.44/0.66 (step @p58 :rule reordering :premises (@p57) :args ((or @t108 @t126 @t124 (not @t127)))) % 0.44/0.66 (step @p59 :rule instantiate :premises (@p7) :args (@t97)) % 0.44/0.66 (step @p60 :rule cnf_or_pos :args (@t131)) % 0.44/0.66 (step @p61 :rule reordering :premises (@p60) :args ((or @t108 @t128 @t130 (not @t131)))) % 0.44/0.66 (step @p62 :rule instantiate :premises (@p10) :args (@t97)) % 0.44/0.66 (step @p63 :rule cnf_or_pos :args (@t134)) % 0.44/0.66 (step @p64 :rule reordering :premises (@p63) :args ((or @t133 @t132 @t120 @t119 (not @t134)))) % 0.44/0.66 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p61 @p59 @p34 @p58 @p56 @p55 @p51 @p49 @p1 @p54 @p52) :args ((or @t121 @t120 @t119) (@list false false false false false false false true false true true false) (@list @t134 @t128 @t131 @t129 @t124 @t125 @t127 @t108 @t118 @t2 @t116 @t123))) % 0.44/0.66 (step @p66 :rule instantiate :premises (@p20) :args (@t135)) % 0.44/0.66 (step @p67 :rule cnf_or_pos :args (@t137)) % 0.44/0.66 (step @p68 :rule factoring :premises (@p67)) % 0.44/0.66 (step @p69 :rule reordering :premises (@p68) :args ((or @t121 @t122 @t120 @t136 (not @t137)))) % 0.44/0.66 (step @p70 :rule chain_m_resolution :premises (@p69 @p66 @p65) :args ((or @t121 @t122 @t120) @t138 (@list @t137 @t119))) % 0.44/0.66 (step @p71 :rule instantiate :premises (@p18) :args (@t135)) % 0.44/0.66 (step @p72 :rule cnf_or_pos :args (@t141)) % 0.44/0.66 (step @p73 :rule factoring :premises (@p72)) % 0.44/0.66 (step @p74 :rule reordering :premises (@p73) :args ((or @t140 @t121 @t122 @t136 @t139 (not @t141)))) % 0.44/0.66 (step @p75 :rule instantiate :premises (@p22) :args (@t97)) % 0.44/0.66 (step @p76 :rule cnf_or_pos :args (@t142)) % 0.44/0.66 (step @p77 :rule reordering :premises (@p76) :args ((or @t140 @t121 @t122 @t119 @t139 (not @t142)))) % 0.44/0.66 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p74 @p71 @p70) :args ((or @t140 @t121 @t122) (@list false true false false) (@list @t142 @t119 @t141 @t120))) % 0.44/0.66 (step @p79 :rule chain_m_resolution :premises (@p78 @p51 @p49 @p1 @p48 @p31 @p1 @p46 @p32 @p1 @p44 @p42 @p35 @p41 @p39 @p35 @p38 @p36 @p35) :args (@t102 (@list false false true false false true false false true false false false false false false false false false) (@list @t116 @t118 @t2 @t113 @t115 @t2 @t110 @t112 @t2 @t108 @t109 @t103 @t106 @t107 @t103 @t100 @t105 @t103))) % 0.44/0.66 (step @p80 :rule instantiate :premises (@p4) :args (@t143)) % 0.44/0.66 (step @p81 :rule cnf_or_pos :args (@t148)) % 0.44/0.66 (step @p82 :rule factoring :premises (@p81)) % 0.44/0.66 (step @p83 :rule reordering :premises (@p82) :args ((or @t147 @t132 @t146 @t144 (not @t148)))) % 0.44/0.66 (step @p84 :rule instantiate :premises (@p5) :args (@t143)) % 0.44/0.66 (step @p85 :rule cnf_or_pos :args (@t153)) % 0.44/0.66 (step @p86 :rule factoring :premises (@p85)) % 0.44/0.66 (step @p87 :rule reordering :premises (@p86) :args ((or @t147 @t132 @t146 @t149 @t152 (not @t153)))) % 0.44/0.66 (step @p88 :rule chain_m_resolution :premises (@p87 @p84 @p83 @p80) :args ((or @t147 @t132 @t146 @t152) (@list false false false) (@list @t153 @t144 @t148))) % 0.44/0.66 (step @p89 :rule instantiate :premises (@p10) :args (@t98)) % 0.44/0.66 (step @p90 :rule cnf_or_pos :args (@t154)) % 0.44/0.66 (step @p91 :rule reordering :premises (@p90) :args ((or @t147 @t132 @t145 @t144 (not @t154)))) % 0.44/0.66 (step @p92 :rule instantiate :premises (@p28) :args (@t98)) % 0.44/0.66 (step @p93 :rule cnf_or_pos :args (@t155)) % 0.44/0.66 (step @p94 :rule reordering :premises (@p93) :args ((or @t147 @t132 @t145 @t149 @t152 (not @t155)))) % 0.44/0.66 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p91 @p89 @p88) :args ((or @t147 @t132 @t152) (@list false false false true) (@list @t155 @t144 @t154 @t145))) % 0.44/0.66 (step @p96 :rule cnf_or_pos :args (@t158)) % 0.44/0.66 (step @p97 :rule reordering :premises (@p96) :args ((or @t106 @t157 @t151 (not @t158)))) % 0.44/0.66 (step @p98 :rule instantiate :premises (@p23) :args (@t98)) % 0.44/0.66 (step @p99 :rule cnf_or_pos :args (@t159)) % 0.44/0.66 (step @p100 :rule reordering :premises (@p99) :args ((or @t100 @t157 @t151 (not @t159)))) % 0.44/0.66 (assume-push @p184 @t50) % 0.44/0.66 (step-pop @p185 :rule scope :premises (@p29)) % 0.44/0.66 (step @p102 :rule process_scope :premises (@p185) :args (@t158)) % 0.44/0.66 (step @p104 :rule implies_elim :premises (@p102)) % 0.44/0.66 (assume-push @p186 @t43) % 0.44/0.66 (step-pop @p187 :rule scope :premises (@p30)) % 0.44/0.66 (step @p106 :rule process_scope :premises (@p187) :args (@t156)) % 0.44/0.66 (step @p108 :rule implies_elim :premises (@p106)) % 0.44/0.66 (assume-push @p188 @t36) % 0.44/0.66 (step-pop @p189 :rule scope :premises (@p31)) % 0.44/0.66 (step @p110 :rule process_scope :premises (@p189) :args (@t115)) % 0.44/0.66 (step @p112 :rule implies_elim :premises (@p110)) % 0.44/0.66 (assume-push @p190 @t90) % 0.44/0.66 (step-pop @p191 :rule scope :premises (@p98)) % 0.44/0.66 (step @p114 :rule process_scope :premises (@p191) :args (@t159)) % 0.44/0.66 (step @p116 :rule implies_elim :premises (@p114)) % 0.44/0.66 (assume-push @p192 @t52) % 0.44/0.66 (step-pop @p193 :rule scope :premises (@p32)) % 0.44/0.66 (step @p118 :rule process_scope :premises (@p193) :args (@t112)) % 0.44/0.66 (step @p120 :rule implies_elim :premises (@p118)) % 0.44/0.66 (assume-push @p194 @t53) % 0.44/0.66 (step-pop @p195 :rule scope :premises (@p49)) % 0.44/0.66 (step @p122 :rule process_scope :premises (@p195) :args (@t118)) % 0.44/0.66 (step @p124 :rule implies_elim :premises (@p122)) % 0.44/0.66 (assume-push @p196 @t43) % 0.44/0.66 (step-pop @p197 :rule scope :premises (@p56)) % 0.44/0.66 (step @p126 :rule process_scope :premises (@p197) :args (@t125)) % 0.44/0.66 (step @p128 :rule implies_elim :premises (@p126)) % 0.44/0.66 (assume-push @p198 @t91) % 0.44/0.66 (step-pop @p199 :rule scope :premises (@p55)) % 0.44/0.66 (step @p130 :rule process_scope :premises (@p199) :args (@t127)) % 0.44/0.66 (step @p132 :rule implies_elim :premises (@p130)) % 0.44/0.66 (step @p133 :rule instantiate :premises (@p28) :args (@t97)) % 0.44/0.66 (step @p134 :rule cnf_or_pos :args (@t160)) % 0.44/0.66 (step @p135 :rule reordering :premises (@p134) :args ((or @t133 @t147 @t132 @t119 @t139 (not @t160)))) % 0.44/0.66 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p65 @p58 @p132 @p25 @p128 @p51 @p124 @p9 @p78 @p46 @p120 @p8 @p100 @p116 @p23 @p48 @p1 @p112 @p3 @p97 @p108 @p6 @p104 @p7 @p95) :args ((or @t147 @t132 @t119) (@list false false false false false false true false false true false false false false false false false true false false false false false false false true) (@list @t160 @t120 @t124 @t127 @t91 @t125 @t108 @t118 @t53 @t116 @t110 @t112 @t52 @t100 @t159 @t90 @t113 @t2 @t115 @t36 @t106 @t156 @t43 @t158 @t50 @t151))) % 0.44/0.66 (step @p137 :rule instantiate :premises (@p5) :args (@t135)) % 0.44/0.66 (step @p138 :rule cnf_or_pos :args (@t161)) % 0.44/0.66 (step @p139 :rule factoring :premises (@p138)) % 0.44/0.66 (step @p140 :rule reordering :premises (@p139) :args ((or @t133 @t147 @t132 @t136 @t139 (not @t161)))) % 0.44/0.66 (step @p141 :rule chain_m_resolution :premises (@p140 @p137 @p44 @p42 @p35 @p61 @p59 @p34 @p58 @p56 @p55) :args ((or @t108 @t136 @t139) (@list false false false false false false false false false false) (@list @t161 @t102 @t109 @t103 @t128 @t131 @t129 @t124 @t125 @t127))) % 0.44/0.67 (step @p142 :rule instantiate :premises (@p4) :args (@t135)) % 0.44/0.67 (step @p143 :rule cnf_or_pos :args (@t162)) % 0.44/0.67 (step @p144 :rule factoring :premises (@p143)) % 0.44/0.67 (step @p145 :rule reordering :premises (@p144) :args ((or @t133 @t132 @t120 @t136 (not @t162)))) % 0.44/0.67 (step @p146 :rule chain_m_resolution :premises (@p145 @p142 @p141 @p136 @p58 @p56 @p55 @p51 @p49 @p1 @p78 @p46 @p32 @p1 @p48 @p31 @p1 @p100 @p98 @p30 @p97 @p29 @p30 @p95) :args ((or @t147 @t132) (@list false true false false false false true false true true false false true false false true false false false false false false true) (@list @t162 @t120 @t119 @t124 @t125 @t127 @t108 @t118 @t2 @t116 @t110 @t112 @t2 @t113 @t115 @t2 @t100 @t159 @t156 @t106 @t158 @t156 @t151))) % 0.44/0.67 (step @p147 :rule chain_m_resolution :premises (@p146 @p79) :args (@t132 (@list false) (@list @t102))) % 0.44/0.67 (step @p148 :rule cnf_or_pos :args (@t163)) % 0.44/0.67 (step @p149 :rule reordering :premises (@p148) :args ((or @t100 @t128 @t130 (not @t163)))) % 0.44/0.67 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p34 @p33) :args (@t100 @t164 (@list @t128 @t129 @t163))) % 0.44/0.67 (step @p151 :rule chain_m_resolution :premises (@p46 @p1 @p150 @p32) :args (@t110 @t164 (@list @t2 @t100 @t112))) % 0.44/0.67 (step @p152 :rule chain_m_resolution :premises (@p61 @p147 @p34 @p59) :args (@t108 @t164 (@list @t128 @t129 @t131))) % 0.44/0.67 (step @p153 :rule chain_m_resolution :premises (@p51 @p1 @p152 @p49) :args (@t116 @t164 (@list @t2 @t108 @t118))) % 0.44/0.67 (step @p154 :rule chain_m_resolution :premises (@p78 @p153 @p151) :args (@t140 @t138 (@list @t116 @t110))) % 0.44/0.67 (step @p155 :rule chain_m_resolution :premises (@p48 @p1 @p154 @p31) :args (@t114 (@list true true false) (@list @t2 @t113 @t115))) % 0.44/0.67 (step @p156 :rule chain_m_resolution :premises (@p97 @p155 @p30 @p29) :args (@t151 @t164 (@list @t106 @t156 @t158))) % 0.44/0.67 (step @p157 :rule instantiate :premises (@p10) :args (@t95)) % 0.44/0.67 (step @p158 :rule cnf_or_pos :args (@t167)) % 0.44/0.67 (step @p159 :rule reordering :premises (@p158) :args ((or @t147 @t152 @t166 @t165 (not @t167)))) % 0.44/0.67 (step @p160 :rule instantiate :premises (@p4) :args (@t168)) % 0.44/0.67 (step @p161 :rule cnf_or_pos :args (@t170)) % 0.44/0.67 (step @p162 :rule factoring :premises (@p161)) % 0.44/0.67 (step @p163 :rule reordering :premises (@p162) :args ((or @t147 @t152 @t166 @t169 (not @t170)))) % 0.44/0.67 (step @p164 :rule chain_m_resolution :premises (@p163 @p160 @p156 @p79 @p159 @p157 @p79 @p156) :args (@t166 (@list false false false false false false false) (@list @t170 @t151 @t102 @t165 @t167 @t102 @t151))) % 0.44/0.67 (step @p165 :rule instantiate :premises (@p5) :args (@t168)) % 0.44/0.67 (step @p166 :rule instantiate :premises (@p23) :args (@t95)) % 0.44/0.67 (step @p167 :rule instantiate :premises (@p6) :args ((@list @t171))) % 0.44/0.67 (step @p168 :rule cnf_or_pos :args (@t176)) % 0.44/0.67 (step @p169 :rule reordering :premises (@p168) :args ((or @t106 @t175 @t173 (not @t176)))) % 0.44/0.67 (step @p170 :rule chain_m_resolution :premises (@p169 @p155 @p167 @p166) :args (@t173 @t164 (@list @t106 @t174 @t176))) % 0.44/0.67 (step @p171 :rule cnf_or_pos :args (@t179)) % 0.44/0.67 (step @p172 :rule factoring :premises (@p171)) % 0.44/0.67 (step @p173 :rule reordering :premises (@p172) :args ((or @t147 @t152 @t178 @t177 @t169 (not @t179)))) % 0.44/0.67 (step @p174 :rule chain_m_resolution :premises (@p173 @p79 @p156 @p170 @p164 @p165) :args (@t169 (@list false false false false false) (@list @t102 @t151 @t173 @t166 @t179))) % 0.44/0.67 (step @p175 :rule cnf_or_pos :args (@t180)) % 0.44/0.67 (step @p176 :rule reordering :premises (@p175) :args ((or @t147 @t152 @t178 @t165 @t177 @t181))) % 0.44/0.67 (step @p177 :rule chain_m_resolution :premises (@p176 @p79 @p156 @p170 @p174 @p164) :args (@t181 (@list false false false true false) (@list @t102 @t151 @t173 @t165 @t166))) % 0.44/0.67 (assume-push @p200 @t92) % 0.44/0.67 (step @p179 :rule instantiate :premises (@p28) :args (@t95)) % 0.44/0.67 (step-pop @p201 :rule scope :premises (@p179)) % 0.44/0.67 (step @p180 :rule process_scope :premises (@p201) :args (@t180)) % 0.44/0.67 (step @p182 :rule implies_elim :premises (@p180)) % 0.44/0.67 (step @p183 false :rule chain_m_resolution :premises (@p182 @p177 @p28) :args (false (@list true false) (@list @t180 @t92))) % 0.44/0.67 ) % 0.44/0.67 % SZS output end Proof % 0.44/0.67 % cvc5 exiting %------------------------------------------------------------------------------